4164092064 has 480 divisors, whose sum is σ = 14463453312. Its totient is φ = 1170892800.

The previous prime is 4164092059. The next prime is 4164092069. The reversal of 4164092064 is 4602904614.

4164092064 is a `hidden beast` number, since 4 + 1 + 640 + 9 + 2 + 0 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4164092059) and next prime (4164092069).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4164092069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58649149 + ... + 58649219.

Almost surely, 2^4164092064 is an apocalyptic number.

4164092064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164092064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231726656).

4164092064 is an abundant number, since it is smaller than the sum of its proper divisors (10299361248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4164092064 is a wasteful number, since it uses less digits than its factorization.

4164092064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4164092064 is about 64529.7765686508. The cubic root of 4164092064 is about 1608.8174725153.

Adding to 4164092064 its reverse (4602904614), we get a palindrome (8766996678).

The spelling of 4164092064 in words is "four billion, one hundred sixty-four million, ninety-two thousand, sixty-four".